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Similar triangles — sides of a Congruence & similarity
a₁/a₂ = b₁/b₂ = c₁/c₂ = k
Where: a₁ = Similar triangles — sides, a₂ = a₂, b₁ = b₁, b₂ = b₂
Use the same units for all lengths (e.g. all in cm); areas come out in cm², volumes in cm³.
Solved example
Given: a_2 = 7, b_1 = 5, b_2 = 10
Find: a_1 (Similar triangles — sides)
- Formula: a₁/a₂ = b₁/b₂
- Rearranged for a₁: a₁ = a₂·b₁/b₂
- Substitute the values: a₁ = 5·7/10
- Result: a₁ = 3.5
Answer: a_1 = 3.5
Calculator
How to calculate Similar triangles — sides of a Congruence & similarity
- Write down the formula: a₁/a₂ = b₁/b₂ = c₁/c₂ = k.
- Note the known values (a₂, b₁, b₂).
- Substitute them and simplify to find a_1.
- Use the calculator above to solve for any letter.
Frequently asked questions
What is the formula for Similar triangles — sides of a Congruence & similarity?
The formula is a₁/a₂ = b₁/b₂ = c₁/c₂ = k, where a₁ = Similar triangles — sides, a₂ = a₂, b₁ = b₁, b₂ = b₂.
What is Similar triangles — sides of a Congruence & similarity when a_2 = 7, b_1 = 5, b_2 = 10?
a_1 = 3.5. Substitute the values into a₁/a₂ = b₁/b₂ = c₁/c₂ = k and simplify.